Jump to navigation Jump to search

General

Display information for equation id:math.219095.9 on revision:219095

* Page found: Commutator (eq math.219095.9)

(force rerendering)

Cannot find the equation data in the database. Fetching from revision text.

Occurrences on the following pages:

Hash: 17269924657084fe6f89b4e5cb37ef46

TeX (original user input):

 (xy)^2 = x^2y^2[y,x][[y,x],y].\,

LaTeXML (experimental; uses MathML) rendering

MathML (5.764 KB / 989 B) :

( x y ) 2 = x 2 y 2 [ y , x ] [ [ y , x ] , y ] . superscript 𝑥 𝑦 2 superscript 𝑥 2 superscript 𝑦 2 𝑦 𝑥 𝑦 𝑥 𝑦 {\displaystyle(xy)^{2}=x^{2}y^{2}[y,x][[y,x],y].\,}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle(xy)^{2}=x^{2}y^{2}[y,x][[y,x],y].\,}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.27" xref="p1.1.m1.1.27.2.cmml">
      <mrow id="p1.1.m1.1.27.2" xref="p1.1.m1.1.27.2.cmml">
        <msup id="p1.1.m1.1.27.2.1" xref="p1.1.m1.1.27.2.1.cmml">
          <mrow id="p1.1.m1.1.27.2.1.2" xref="p1.1.m1.1.27.2.1.2.2.cmml">
            <mo stretchy="false" id="p1.1.m1.1.1" xref="p1.1.m1.1.27.2.1.2.2.cmml">(</mo>
            <mrow id="p1.1.m1.1.27.2.1.2.2" xref="p1.1.m1.1.27.2.1.2.2.cmml">
              <mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">x</mi>
              <mo id="p1.1.m1.1.27.2.1.2.2.1" xref="p1.1.m1.1.27.2.1.2.2.1.cmml"></mo>
              <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">y</mi>
            </mrow>
            <mo stretchy="false" id="p1.1.m1.1.4" xref="p1.1.m1.1.27.2.1.2.2.cmml">)</mo>
          </mrow>
          <mn id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">2</mn>
        </msup>
        <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">=</mo>
        <mrow id="p1.1.m1.1.27.2.2" xref="p1.1.m1.1.27.2.2.cmml">
          <msup id="p1.1.m1.1.27.2.2.2" xref="p1.1.m1.1.27.2.2.2.cmml">
            <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">x</mi>
            <mn id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">2</mn>
          </msup>
          <mo id="p1.1.m1.1.27.2.2.1" xref="p1.1.m1.1.27.2.2.1.cmml"></mo>
          <msup id="p1.1.m1.1.27.2.2.3" xref="p1.1.m1.1.27.2.2.3.cmml">
            <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">y</mi>
            <mn id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">2</mn>
          </msup>
          <mo id="p1.1.m1.1.27.2.2.1a" xref="p1.1.m1.1.27.2.2.1.cmml"></mo>
          <mrow id="p1.1.m1.1.27.2.2.4" xref="p1.1.m1.1.27.2.2.4.1.cmml">
            <mo stretchy="false" id="p1.1.m1.1.11" xref="p1.1.m1.1.27.2.2.4.1.cmml">[</mo>
            <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">y</mi>
            <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.27.2.2.4.1.cmml">,</mo>
            <mi id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">x</mi>
            <mo stretchy="false" id="p1.1.m1.1.15" xref="p1.1.m1.1.27.2.2.4.1.cmml">]</mo>
          </mrow>
          <mo id="p1.1.m1.1.27.2.2.1b" xref="p1.1.m1.1.27.2.2.1.cmml"></mo>
          <mrow id="p1.1.m1.1.27.2.2.5" xref="p1.1.m1.1.27.2.2.5.1.cmml">
            <mo stretchy="false" id="p1.1.m1.1.16" xref="p1.1.m1.1.27.2.2.5.1.cmml">[</mo>
            <mrow id="p1.1.m1.1.27.2.2.5.2" xref="p1.1.m1.1.27.2.2.5.2.1.cmml">
              <mo stretchy="false" id="p1.1.m1.1.17" xref="p1.1.m1.1.27.2.2.5.2.1.cmml">[</mo>
              <mi id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">y</mi>
              <mo id="p1.1.m1.1.19" xref="p1.1.m1.1.27.2.2.5.2.1.cmml">,</mo>
              <mi id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">x</mi>
              <mo stretchy="false" id="p1.1.m1.1.21" xref="p1.1.m1.1.27.2.2.5.2.1.cmml">]</mo>
            </mrow>
            <mo id="p1.1.m1.1.22" xref="p1.1.m1.1.27.2.2.5.1.cmml">,</mo>
            <mi id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">y</mi>
            <mo stretchy="false" id="p1.1.m1.1.24" xref="p1.1.m1.1.27.2.2.5.1.cmml">]</mo>
          </mrow>
        </mrow>
      </mrow>
      <mo rspace="4.2pt" id="p1.1.m1.1.25" xref="p1.1.m1.1.27.2.cmml">.</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.27.2.cmml" xref="p1.1.m1.1.27">
        <eq id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"/>
        <apply id="p1.1.m1.1.27.2.1.cmml" xref="p1.1.m1.1.27.2.1">
          <csymbol cd="ambiguous" id="p1.1.m1.1.27.2.1.1.cmml" xref="p1.1.m1.1.27.2.1">superscript</csymbol>
          <apply id="p1.1.m1.1.27.2.1.2.2.cmml" xref="p1.1.m1.1.27.2.1.2">
            <times id="p1.1.m1.1.27.2.1.2.2.1.cmml" xref="p1.1.m1.1.27.2.1.2.2.1"/>
            <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝑥</ci>
            <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝑦</ci>
          </apply>
          <cn type="integer" id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">2</cn>
        </apply>
        <apply id="p1.1.m1.1.27.2.2.cmml" xref="p1.1.m1.1.27.2.2">
          <times id="p1.1.m1.1.27.2.2.1.cmml" xref="p1.1.m1.1.27.2.2.1"/>
          <apply id="p1.1.m1.1.27.2.2.2.cmml" xref="p1.1.m1.1.27.2.2.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.27.2.2.2.1.cmml" xref="p1.1.m1.1.27.2.2.2">superscript</csymbol>
            <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝑥</ci>
            <cn type="integer" id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">2</cn>
          </apply>
          <apply id="p1.1.m1.1.27.2.2.3.cmml" xref="p1.1.m1.1.27.2.2.3">
            <csymbol cd="ambiguous" id="p1.1.m1.1.27.2.2.3.1.cmml" xref="p1.1.m1.1.27.2.2.3">superscript</csymbol>
            <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝑦</ci>
            <cn type="integer" id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">2</cn>
          </apply>
          <interval closure="closed" id="p1.1.m1.1.27.2.2.4.1.cmml" xref="p1.1.m1.1.27.2.2.4">
            <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">𝑦</ci>
            <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">𝑥</ci>
          </interval>
          <interval closure="closed" id="p1.1.m1.1.27.2.2.5.1.cmml" xref="p1.1.m1.1.27.2.2.5">
            <interval closure="closed" id="p1.1.m1.1.27.2.2.5.2.1.cmml" xref="p1.1.m1.1.27.2.2.5.2">
              <ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">𝑦</ci>
              <ci id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">𝑥</ci>
            </interval>
            <ci id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">𝑦</ci>
          </interval>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle(xy)^{2}=x^{2}y^{2}[y,x][[y,x],y].\,}</annotation>
  </semantics>
</math>

SVG (7.984 KB / 2.403 KB) :

left-parenthesis x times y right-parenthesis squared equals x squared times y squared times left-bracket y comma x right-bracket times left-bracket left-bracket y comma x right-bracket comma y right-bracket period

SVG with PNG fallback (MathML can be enabled via browser plugin) rendering

MathML (1.299 KB / 376 B) :

( x y ) 2 = x 2 y 2 [ y , x ] [ [ y , x ] , y ] . {\displaystyle (xy)^{2}=x^{2}y^{2}[y,x][[y,x],y].\,}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle (xy)^{2}=x^{2}y^{2}[y,x][[y,x],y].\,}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mo stretchy="false">(</mo>
        <mi>x</mi>
        <mi>y</mi>
        <msup>
          <mo stretchy="false">)</mo>
          <mrow class="MJX-TeXAtom-ORD">
            <mn>2</mn>
          </mrow>
        </msup>
        <mo>=</mo>
        <msup>
          <mi>x</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mn>2</mn>
          </mrow>
        </msup>
        <msup>
          <mi>y</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mn>2</mn>
          </mrow>
        </msup>
        <mo stretchy="false">[</mo>
        <mi>y</mi>
        <mo>,</mo>
        <mi>x</mi>
        <mo stretchy="false">]</mo>
        <mo stretchy="false">[</mo>
        <mo stretchy="false">[</mo>
        <mi>y</mi>
        <mo>,</mo>
        <mi>x</mi>
        <mo stretchy="false">]</mo>
        <mo>,</mo>
        <mi>y</mi>
        <mo stretchy="false">]</mo>
        <mo>.</mo>
        <mspace width="thinmathspace" />
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle (xy)^{2}=x^{2}y^{2}[y,x][[y,x],y].\,}</annotation>
  </semantics>
</math>

SVG (5.367 KB / 2.101 KB) :

{\displaystyle (xy)^{2}=x^{2}y^{2}[y,x][[y,x],y].\,}

PNG (0 B / 8 B) :


Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Commutator page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results